13665082001196 has 192 divisors, whose sum is σ = 34648847235072. Its totient is φ = 4180704000000.

The previous prime is 13665082001171. The next prime is 13665082001227. The reversal of 13665082001196 is 69110028056631.

It is a super-2 number, since 2×13665082001196² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172540726 + ... + 172619906.

It is an arithmetic number, because the mean of its divisors is an integer number (180462746016).

Almost surely, 2^{13665082001196} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13665082001196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324423617536).

13665082001196 is an abundant number, since it is smaller than the sum of its proper divisors (20983765233876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13665082001196 is a wasteful number, since it uses less digits than its factorization.

13665082001196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79504 (or 79502 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 13665082001196 in words is "thirteen trillion, six hundred sixty-five billion, eighty-two million, one thousand, one hundred ninety-six".